Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050ba |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
18074112000 = 212 · 3 · 53 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3571,-82162] |
[a1,a2,a3,a4,a6] |
Generators |
[543:12304:1] |
Generators of the group modulo torsion |
j |
40272483611933/144592896 |
j-invariant |
L |
5.2871413673914 |
L(r)(E,1)/r! |
Ω |
0.61774669661525 |
Real period |
R |
4.2793764793571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150dt1 43050bq1 |
Quadratic twists by: -3 5 |